Triples with Same Sum and Same Product/Mistake

Source Work

2004: Richard K. Guy: Unsolved Problems in Number Theory (3rd ed.):

$\mathbf D$: Diophantine Equations

$\mathbf {D 16}$: Triples with Same Sum and Same Product

Mistake

It may be of interest to ask for the smallest sums or products with each multiplicity. For example, for $4$ triples, J. G. Mauldon finds the smallest common sum to be $118$ ... and the smallest common product to be $25200$ ...

Correction

In the article cited by Richard K. Guy, in fact J. G. Mauldon does no such thing. Instead, he raises the question for $5$ such triples.

Also see

• Smallest Number which is Sum of 4 Triples with Equal Products
• Smallest Integer which is Product of 4 Triples all with Same Sum

Sources

• Feb. 1981: J.G. Mauldon: Elementary Problems: E2872 (Amer. Math. Monthly Vol. 88, no. 2: p. 148)  www.jstor.org/stable/2321140

• Sep. 1982: Lorraine L. Foster and Gabriel Robins: E2872 (Amer. Math. Monthly Vol. 89, no. 7: pp. 499 – 500)  www.jstor.org/stable/2321396

• 2004: Richard K. Guy: Unsolved Problems in Number Theory (3rd ed.): $\mathbf {D 16}$: Triples with the same sum and same product